What is join (ln(3/20))/(4ln(2)) ?

The solution to join (ln(3/20))/(4ln(2)) is (ln(3/20))/(ln(16))

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join (ln(3/20))/(4ln(2))

join

\frac{ln ( \frac{3}{20} )}{4 ln ( 2 )}

\frac{ln ( \frac{3}{20} )}{ln ( 16 )}

Decimal Notation

- 0.68424 \dots

Solution steps

\frac{ln ( \frac{3}{20} )}{4 ln ( 2 )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 ln (2) = ln (2^{4})

= \frac{ln ( \frac{3}{20} )}{ln ( 2 ^{4} )}

2^{4} = 16

= \frac{ln ( \frac{3}{20} )}{ln ( 16 )}

\frac{1}{2} ln (\frac{1}{3})

\frac{1}{4} lo g_{b} (x) + 5 lo g_{b} (y) - 2 lo g_{b} (x)

ln (x^{\frac{1}{2}} (x^{4})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}) - 7 ln (x)

lo g_{5} (8 x) - lo g_{5} (5 x + 7)

lo g_{2} (2 n)

What is join (ln(3/20))/(4ln(2)) ?
The solution to join (ln(3/20))/(4ln(2)) is (ln(3/20))/(ln(16))